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Suppose 40% of Home trade is with country 1, 30% is with country 2 and rest...

Suppose 40% of Home trade is with country 1, 30% is with country 2 and rest is with country 2. Home's currency apperciates 10% against country 1, 16% against country 2 but depreciates 25% against country 3. Does home's effective exchange rate apperciated or depreciate? By how much?

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Answer #1

Home's effective exchange rate apperciated. The calculation are as follows,

Let the total value of home currency be 100 and the changes are as follows,

= (% of home trade in country 1 * % of change in country 1) + (% of home trade in country 2 * % of change in country 2) - (% of home trade in country 3 * % of change in country 3)

=40 (10%) + 30 (16%) - 30 (25%)

= 4 + 4.8 - 7.5

=1.3.

Home currency apperciated by 13%.

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